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Finding the Fourth Proportional to 5,185.80, 7,156.74 and 3,089.64

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Solution

The fourth proportional to 5,185.80, 7,156.74 and 3,089.64 is: 4,263.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,185.80 : 7,156.74 = 3,089.64 : x
  2. Step 2: Convert to fraction form
    5,185.80/7,156.74 = 3,089.64/x
  3. Step 3: Cross multiply
    5,185.80x = 7,156.74 × 3,089.64
  4. Step 4: Simplify right side
    5,185.80x = 22,111,750.17
  5. Step 5: Solve for x
    x = 22,111,750.17/5,185.80
  6. Step 6: Final answer
    x = 4,263.90

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.